论文标题
关于由延迟差分代数方程所描述的系统的H-核定范围的灵敏度
On the sensitivity of the H-infinity norm of systems described by delay differential algebraic equations
论文作者
论文摘要
我们考虑延迟差分代数方程（DDAE），以与时间延期建模相互联系的系统。 DDAE框架不需要任何消除技术，并且可以直接处理系统和控制器与时间延期的任何互连。在此框架中，我们分析了由延迟差分代数方程描述的系统的H-界面规范的性质。我们表明，标准的H-内标准可能对任意较小的延迟扰动敏感。我们介绍了强大的H-赋值标准，该规范对小延迟扰动不敏感并描述其特性。我们得出的结论是，与在控制循环中有高频路径时，与标准的h-界限规范相比，在任何实际控制应用中，强大的H-赋值标准更合适。
We consider delay differential algebraic equations (DDAEs) to model interconnected systems with time-delays. The DDAE framework does not require any elimination techniques and can directly deal with any interconnection of systems and controllers with time-delays. In this framework, we analyze the properties of the H-infinity norm of systems described by delay differential algebraic equations. We show that the standard H-infinity norm may be sensitive to arbitrarily small delay perturbations. We introduce the strong H-infinity norm which is insensitive to small delay perturbations and describe its properties. We conclude that the strong H-infinity norm is more appropriate in any practical control application compared to the standard H-infinity norm for systems with time-delays whenever there are high-frequency paths in control loops.
